EBK INTERMEDIATE MICROECONOMICS AND ITS
EBK INTERMEDIATE MICROECONOMICS AND ITS
12th Edition
ISBN: 9781305176386
Author: Snyder
Publisher: YUZU
Question
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Chapter 17, Problem 17.2P

a

To determine

Expected utility from 4 gambles.

b)

To determine

Choice of gambling A or B

c)

To determine

Choice of gambling C or D.

d)

To determine

Comparison of choices in two scenarios.

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Suppose you have $35,000 in wealth. You have the opportunity to play a game called "Big Bet/Small Bet." In this game, you first choose whether you would like to make a big bet of $15,000 of a small bet of $5,000. You then roll a fair die. If you roll a 4, 5, or 6, you win the game and earn $15,000 for the big bet or $5,000 for the small bet. If you roll a 1, 2, or 3, you lose and lose $15,000 for the big bet and $5,000 for the small bet the game Utility U₂ U₁ BEL 0 11 LATE EE ARTE Are the Small Bet and Big Bet considered fair bets? O Big Bet is fair, but Small Bet is not. No, both are not fair. Yes, both are fair. 20 OSmall Bet is fair, but Big Bet is not. G HA 1 35 D E 1 1 1 1 1 F 1 U 50 Income (thousands of dollars)
Suppose a person chooses to play a gamble that is free to play. In this gamble, they have a 10% chance of $100.00, and a 90% chance of nothing. Their utility function is represented in the following equation: U=W 1/2 where W is equal to the amount of "winnings" (or the income). Suppose now Brown Insurance Company offers the person the option of purchasing insurance to insure they will win the $100. What is the minimum amount Brown Insurance would charge you to insure your win? 0.90 O. 99 01 O 10
Rita is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8. The dart lands on a numbered slice at random. This game is this: Rita tosses the dart once. She wins $1 if the dart lands in slice 1, $2 if the dart lands in slice 2, $5 if the dart lands in slice 3, and $8 if the dart lands in slice 4. She loses $3 if the dart lands in slices 5, 6, 7, or 8. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. | dollars (b) What can Rita expect in the long run, after playing the game many times? O Rita can expect to gain money. She can expect to win dollars per toss. Rita can expect to lose money. She can expect to lose dollars per toss. O Rita can expect to break even (neither gain nor lose money).
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